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107143081936 = 24112143938459
BaseRepresentation
bin110001111001000111…
…0011010111111010000
3101020112222121111112221
41203302032122333100
53223412112110221
6121115412030424
710512051112162
oct1436216327720
9336488544487
10107143081936
1141491527300
1218922002414
13a146661747
1452859c4932
152bc13b8541
hex18f239afd0

107143081936 has 60 divisors (see below), whose sum is σ = 228341635200. Its totient is φ = 48666291520.

The previous prime is 107143081907. The next prime is 107143081937. The reversal of 107143081936 is 639180341701.

It is a super-2 number, since 2×1071430819362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107143081892 and 107143081901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107143081937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2766675 + ... + 2805133.

It is an arithmetic number, because the mean of its divisors is an integer number (3805693920).

Almost surely, 2107143081936 is an apocalyptic number.

107143081936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107143081936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114170817600).

107143081936 is an abundant number, since it is smaller than the sum of its proper divisors (121198553264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107143081936 is a wasteful number, since it uses less digits than its factorization.

107143081936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39928 (or 39911 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 107143081936 in words is "one hundred seven billion, one hundred forty-three million, eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1439 1936 2878 5756 11512 15829 23024 31658 38459 63316 76918 126632 153836 174119 253264 307672 348238 423049 615344 696476 846098 1392952 1692196 2785904 3384392 4653539 6768784 9307078 18614156 37228312 55342501 74456624 110685002 221370004 442740008 608767511 885480016 1217535022 2435070044 4870140088 6696442621 9740280176 13392885242 26785770484 53571540968 107143081936